Stack Exchange

Robert Bryant

Durham, NC

http://fds.duke.edu/db/aas/math/faculty/bryant

I'm a differential geometer by training, and most of my work has been on the applications of differential geometric ideas to the study of systems of PDE. I've also done some work in algebraic geometry, symplectic geometry, complex analysis, and Lie groups, among other things.

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Top Questions
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Top Answers
160
Is it possible to express $\int\sqrt{x+\sqrt{x+\sqrt{x+1}}}dx$ in elementary functions?
mathoverflow.net

106
Is it possible to express $\int\sqrt{x+\sqrt{x+\sqrt{x+1}}}dx$ in elementary functions?
mathoverflow.net

81
When can a connection Induce a Riemannian metric for which it is the Levi-Civita connection?
mathoverflow.net

78
Beautiful descriptions of exceptional groups
mathoverflow.net

63
"The complex version of Nash's theorem is not true"
mathoverflow.net

61
Theorem of Bryant in higher dimensions
mathoverflow.net

53
When is a singular point of a variety ($\mathcal{C}^\infty$-) smooth?
mathoverflow.net

53
Does the curvature determine the metric?
mathoverflow.net

50
Integrals of $\sqrt{x+\sqrt{\phantom|\dots+\sqrt{x+1}}}$ in elementary functions
math.stackexchange.com

49
What is the Levi-Civita connection trying to describe?
mathoverflow.net

48
Finding a 1-form adapted to a smooth flow
mathoverflow.net

47
Hsiung on the Complex Structure of $S^6$
mathoverflow.net

45
Riemann's formula for the metric in a normal neighborhood
mathoverflow.net

45
Are there some other notions of "curvature" which measure how space curves?
mathoverflow.net

43
Does the Pfaffian have a geometric meaning?
mathoverflow.net

40
deRham cohomology of $S^n$ without Mayer-Vietoris
mathoverflow.net

40
Is $O_n({\bf Q})$ dense in $O_n({\bf R})$?
mathoverflow.net

40
Vector bundles vs principal $G$-bundles
mathoverflow.net

38
Isometry group of a homogeneous space
mathoverflow.net

38
decompositions for exceptional Lie algebras $E_6$, $E_7$ and $E_8$
mathoverflow.net

38
Is SO(4) a subgroup of SU(3)?
mathoverflow.net

37
Surfaces filled densely by a geodesic
mathoverflow.net

35
Riemannian surfaces with an explicit distance function?
mathoverflow.net

35
A result on Lie group actions on 15-dimensional spheres?
mathoverflow.net

35
Interesting integral
mathoverflow.net

34
Is there an integrable complex structure on $\mathrm{SU}(3)$?
mathoverflow.net

34
Why there is a relation among the second-order minors of a symmetric $4\times 4$ matrix?
mathoverflow.net

32
Matrix equation $XAXBXC=I$
mathoverflow.net

32
On the generalized Gauss-Bonnet theorem
mathoverflow.net

31
Can a manifold have a curvature-free connection that is not torsion-free?
mathoverflow.net

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